Home / 2,145.28-3,217.96-975.04

Finding the Fourth Proportional to 2,145.28, 3,217.96 and 975.04

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Solution

The fourth proportional to 2,145.28, 3,217.96 and 975.04 is: 1,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.28 : 3,217.96 = 975.04 : x
  2. Step 2: Convert to fraction form
    2,145.28/3,217.96 = 975.04/x
  3. Step 3: Cross multiply
    2,145.28x = 3,217.96 × 975.04
  4. Step 4: Simplify right side
    2,145.28x = 3,137,639.72
  5. Step 5: Solve for x
    x = 3,137,639.72/2,145.28
  6. Step 6: Final answer
    x = 1,462.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.